Error Estimates Analysis for A Class of Nonlinear Klein-Gordon Equations with Strong Damping

Abstract

The aim of this paper is to study the convergence
analysis for a class of Klein-Gordon equations with strong
damping by bilinear element. Error estimates and result of
super-close are obtained by using some new approaches and
techniques. Finally, the corresponding global super-convergence
is got by taking the advantage of the technique of the
post-processing operator.